Stability for static walls in ferromagnetic nanowires | Zendy

Gilles Carbou | Zendy; Stéphane Labbé | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

Stability for static walls in ferromagnetic nanowires

Author(s) -

Gilles Carbou,

Stéphane Labbé

Publication year - 2005

Publication title -

discrete and continuous dynamical systems - b

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.864

H-Index - 53

eISSN - 1553-524X

pISSN - 1531-3492

DOI - 10.3934/dcdsb.2006.6.273

Subject(s) - modulo , eigenvalues and eigenvectors , translation (biology) , ferromagnetism , stability (learning theory) , stability theory , rotation (mathematics) , zero (linguistics) , nanowire , exponential stability , transverse plane , physics , mathematics , mathematical analysis , classical mechanics , condensed matter physics , quantum mechanics , geometry , nonlinear system , computer science , combinatorics , chemistry , structural engineering , machine learning , messenger rna , engineering , gene , linguistics , philosophy , biochemistry

The goal of this article is to analyse the time asymptotic stability of one dimensional Bloch wall in ferromagnetic materials. The equation involved in modelling such materials is the Landau-Lifschitz system which is non-linear and parabolic. We demonstrate that the equilibrium states called Bloch walls are asymptotically stable modulo a rotation translation transverse to the wall. The linear part of the perturbed equation admits zero as an eigenvalue forbiding a direct proof.

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research